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onegirl

  • 2 years ago

The cost of manufacturing x items is given by C(x) = 0.02x^2 + 20x + 1800. Find the marginal cost function. Compuare the marginal cost at x = 20 to the actual cost of producing the 20th item.

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  1. onegirl
    • 2 years ago
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    This is what i did but my teacher says it wrong. C(x) = 0.02x^2 + 20x + 1800 C’(x) = 0.04x + 20 C’(20) = 0.04(20) + 20 = 20.8 so this will be the marginal cost at x = 20 Acutal cost of the 20th item : c(20) - c(19) = 0.02(20^2) + 20(20) + 1800 – 0.02(19)^2 + 20(19) + 1800 = 4380.78

  2. onegirl
    • 2 years ago
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    @agent0smith can u help?

  3. julian25
    • 2 years ago
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    c(20)-c(19) = 2208 - 2187,22 = 20.78 it is just one algebraic mistake

  4. onegirl
    • 2 years ago
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    okay thanks so thats the marginal cost?

  5. julian25
    • 2 years ago
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    no! u already got the amrginal cost "C’(20) = 0.04(20) + 20 = 20.8 so this will be the marginal cost at x = 20 "

  6. onegirl
    • 2 years ago
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    ohh okay so what do i do next?

  7. julian25
    • 2 years ago
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    u wrote this "Acutal cost of the 20th item : c(20) - c(19) = 0.02(20^2) + 20(20) + 1800 – 0.02(19)^2 + 20(19) + 1800 = 4380.78 " i m telling u that part is wrong with algebraic mistakes

  8. onegirl
    • 2 years ago
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    okay

  9. onegirl
    • 2 years ago
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    so you're saying in that its where i made my sitake?

  10. julian25
    • 2 years ago
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    yes

  11. julian25
    • 2 years ago
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    i made that calculations and i got c(20)-c(19) = 2208 - 2187,22 = 20.78

  12. onegirl
    • 2 years ago
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    so how about the actual cost?

  13. onegirl
    • 2 years ago
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    @Loser66 so how would i find the actual cost? should i just substitute 20 into the first problem?

  14. Loser66
    • 2 years ago
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    sorry friend, I totally lost you in this question. I don't get why you subtract C(20 ) -C(19)

  15. onegirl
    • 2 years ago
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    to get the marginal cost? i'm so confused :/

  16. Loser66
    • 2 years ago
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    @ganeshie8

  17. Loser66
    • 2 years ago
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    @RadEn

  18. Loser66
    • 2 years ago
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    @mathstudent55

  19. Loser66
    • 2 years ago
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    I know why don't get you, hihi, it's economic problem. hand off, friend. never known before

  20. julian25
    • 2 years ago
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    hi again so what part u dont understand i think the problem is done

  21. onegirl
    • 2 years ago
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    i'm trying to figure it out what is the actual cost is? since we already found marginal cost

  22. julian25
    • 2 years ago
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    u have the marginal cost C’(x) = 0.04x + 20 C’(20) = 0.04(20) + 20 = 20.8 and the actual cost of producing the 20th item. c(20)-c(19) = 2208 - 2187,22 = 20.78 the problem says that u must compare them and u can can see they r very close

  23. onegirl
    • 2 years ago
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    how how do i do that?

  24. julian25
    • 2 years ago
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    how to do what? compare them? 20.8 is very close to 20.78 u dont need to do anymore

  25. onegirl
    • 2 years ago
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    okay thanks

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